102314413201 has 36 divisors (see below), whose sum is σ = 140594692464. Its totient is φ = 73592719200.

The previous prime is 102314413199. The next prime is 102314413241.

102314413201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102314413201 - 2¹ = 102314413199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102314413241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470515 + ... + 652696.

It is an arithmetic number, because the mean of its divisors is an integer number (3905408124).

Almost surely, 2^102314413201 is an apocalyptic number.

102314413201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102314413201 is a deficient number, since it is larger than the sum of its proper divisors (38280279263).

102314413201 is a wasteful number, since it uses less digits than its factorization.

102314413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123262 (or 1123242 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 102314 and 413201, that added together give a palindrome (515515).

The spelling of 102314413201 in words is "one hundred two billion, three hundred fourteen million, four hundred thirteen thousand, two hundred one".